How many ways are there for a club with 101 members to elect a pair of co-presidents?
For our next couple of problems, we’re going to use a deck of playing cards as an example. In case anyone does not know, a standard American deck of cards contains 52 cards in four “suits”:
♣ clubs
♦ diamonds
♥ hearts
♠ spades
Each card also has a “rank”. There are 13 ranks: 2, 3, 4, 5, 6, 7, 8, 9, 10, J (jack), Q (queen), K (king), A (ace). Every suit-rank combination occurs in the deck, so a typical card might be called “the 7 of clubs” or “the queen of hearts”.
The jack, queen, and king are called face cards.
